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  • $\begingroup$ Please include any code you have developed to try to solve this problem. Also, please reformat your code you have displayed according to the guidelines in meta1027. Doing so will encourage more people to consider your question. $\endgroup$ Commented Feb 5, 2015 at 0:50
  • $\begingroup$ Do you want the volume of the intersection of the spheres, or the volume of the union of the spheres (which happen to be intersecting)? $\endgroup$ Commented Feb 5, 2015 at 1:22
  • $\begingroup$ The volume of the union of the spheres. $\endgroup$ Commented Feb 5, 2015 at 1:23
  • $\begingroup$ Most of the solutions posted here work fine for 2 to 4 nodes (spheres). But any number of spheres which is higher brings up the following message:RegionMeasure::nmet: Unable to compute the measure of region RegionUnion[Ball[{100.,100.,100.},30.],Ball[{120.,120.,120.},30.],Ball[{130.,130.,130.},30.],Ball[{140.,140.,140.},30.],<<1>>,<<1>>,Ball[{190.,190.,190.},30.],Ball[{200.,200.,200.},30.],Ball[{210.,210.,210.},30.],Ball[{230.,230.,230.},30.]]. >> Any idea what it could be? $\endgroup$ Commented Feb 6, 2015 at 20:55
  • $\begingroup$ NIntegrate might be better for many spheres. you might want to provide a real example. $\endgroup$ Commented Feb 7, 2015 at 2:45